Control of Partial Differential Equations: A port-Hamiltonian approach

偏微分方程的控制：端口哈密尔顿方法

• 批准号: 222329719
• 负责人: Professorin Dr. Birgit Jacob
• 金额: --
• 依托单位: Department of Applied Mathematics
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2012
• 资助国家: 德国
• 起止时间: 2011-12-31 至 2015-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/222329719?language=en
• 关键词: Control; Partial; Differential; Equations; port

Hamiltonian dynamics is a well-known topic within mathematics and physics. Combining this concept with concepts from system and control theory has led to the port-Hamiltonian system class. For systems described by ordinary differential equations this approach is well-studied and has resulted in new control strategies. For systems described by partial differential equations there are several promising approaches, but the theory is much less mature than for ordinary differential equations. In this project we want to bring together experts working in the field of port-Hamiltonian systems and its neighboring fields. This will lead to more insight in the analysis and controller design for this systems class. Part of this project is also the training of young professionals in the field of infinite-dimensional port-Hamiltonian systems theory.

哈密顿动力学是数学和物理学中的一个众所周知的话题。将这一概念与系统和控制理论中的概念相结合，产生了波特-哈密顿系统类。对于由常微分方程组描述的系统，这种方法得到了很好的研究，并产生了新的控制策略。对于偏微分方程描述的系统，有几种很有前途的方法，但理论远不如常微分方程组成熟。在这个项目中，我们希望聚集在港口-哈密顿系统及其邻近领域工作的专家。这将使我们对这类系统的分析和控制器设计有更深入的了解。该项目的一部分也是对无限维波特-哈密顿系统理论领域的年轻专业人员的培训。

项目成果

C0-semigroups for hyperbolic partial differential equations on a one-dimensional spatial domain

• DOI: 10.1007/s00028-014-0271-1
• 发表时间: 2015-01
• 期刊: Journal of Evolution Equations
• 影响因子: 1.4
• 作者: B. Jacob;Kirsten Morris;H. Zwart

Root Locii for Systems Defined on Hilbert Spaces

希尔伯特空间上定义的系统的根轨迹

• DOI: 10.1109/tac.2015.2433991
• 发表时间: 2016
• 期刊: IEEE Transactions on Automatic Control
• 影响因子: 6.8
• 作者: Birgit Jacob;Kirsten Morris
• 通讯作者: Kirsten Morris